Greatest Common Factor of 31467 and 31468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 31467, 31468 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31467 and 31468 is 1.

GCF(31467,31468) = 1

GCF of 31467 and 31468

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 31467 and 31468

GCF of 31467 and 31468 is 1

Prime Factorization of 31467


3 31467
17 10489
617 617
1

Prime factors of 31467 are 3,17,617. Prime factorization of 31467 in exponential form is:

31467 = 31×171×6171

Prime Factorization of 31468


2 31468
2 15734
7867 7867
1

Prime factors of 31468 are 2,7867. Prime factorization of 31468 in exponential form is:

31468 = 22×78671

∴ So by taking common prime factors GCF of 31467 and 31468 is 1

Greatest Common Factor of 31467 and 31468 by matching factors method

Factors of 31467

List of positive integer factors of 31467 that divides 31467 without a remainder.

1,3,17,51,617,1851,10489,31467

Factors of 31468

List of positive integer factors of 31468 that divides 31468 without a remainder.

1,2,4,7867,15734,31468

Greatest Common Factor

We found the factors and prime factorization of 31467 and 31468. The biggest common factor number is the GCF number.
So the greatest common factor 31467 and 31468 is 1.

Also check out the Least Common Multiple of 31467 and 31468

Properties of GCF 31467 and 31468

(i) The GCF of 31467 and 31468 is associative

GCF of 31467 and 31468 = GCF of 31468 and 31467

Related Greatest Common Factor of 31467

Related Greatest Common Factor of 31468

Frequently Asked Questions on GCF of 31467 and 31468

1. What is the GCF of 31467 and 31468?

Answer: GCF of 31467 and 31468 is 1.

2. What are the Factors of 31467?

Answer: Factors of 31467 are 1, 3, 17, 51, 617, 1851, 10489, 31467. There are 8 integers that are factors of 31467. The greatest factor of 31467 is 31467.

3. What are the Factors of 31468?

Answer: Factors of 31468 are 1, 2, 4, 7867, 15734, 31468. There are 6 integers that are factors of 31468. The greatest factor of 31468 is 31468.

4. How to Find the GCF of 31467 and 31468?

Answer:

Greatest Common Factor of 31467 and 31468 = 1

Step 1: Find the prime factorization of 31467

31467 = 3 x 17 x 617

Step 2: Find the prime factorization of 31468

31468 = 2 x 2 x 7867

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 31467 and 31468 is 1